Sum of all even Fibonacci terms below 4 million

The second Euler problem concerns the Fibonacci sequence, which for anyone doing MS221 is the basis of module A1.

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:

1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …

By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms.

Following the logic from the previous problem, then I can check each number of the Fibonacci sequence to see if it’s even and add it to the total, $latex n_{3} = n_{2} + n_{1}$ where $latex n_{0}=1$. We need to repeat this while $latex n < 4000000$ and add $latex n$ to our total if it’s even.